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456675134480 = 2457378197797
BaseRepresentation
bin1101010010100111111…
…01011000110000010000
31121122202110211111200122
412221103331120300100
524440232313300410
6545443233005412
744664556411145
oct6512375306020
91548673744618
10456675134480
11166747231814
127460b6b3868
13340ab2bb286
14181632463cc
15bd2c2d5e55
hex6a53f58c10

456675134480 has 40 divisors (see below), whose sum is σ = 1076314491672. Its totient is φ = 180167721984.

The previous prime is 456675134453. The next prime is 456675134491. The reversal of 456675134480 is 84431576654.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53312962816 + 403362171664 = 230896^2 + 635108^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39093059 + ... + 39104738.

Almost surely, 2456675134480 is an apocalyptic number.

456675134480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456675134480 is an abundant number, since it is smaller than the sum of its proper divisors (619639357192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456675134480 is a wasteful number, since it uses less digits than its factorization.

456675134480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78197883 (or 78197877 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 53.

The spelling of 456675134480 in words is "four hundred fifty-six billion, six hundred seventy-five million, one hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 78197797 156395594 312791188 390988985 625582376 781977970 1251164752 1563955940 3127911880 5708439181 6255823760 11416878362 22833756724 28542195905 45667513448 57084391810 91335026896 114168783620 228337567240 456675134480